Question #650b3

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Answer 1 · 2017-03-14T00:21:11

See the solution process below:

The formula for the area of a circle is:

#A = pir^2#

Where:
#A# is the area of the circle
#r# is the radius of the circle

For this problem we need to convert #7 1/2# from a mixed fraction to an improper fraction.

We multiply the integer portion of the improper fraction by the appropriate form of #1# and add it to the fraction portion of the mixed fraction:

#7 1/2 = (2/2 xx 7) + 1/2 = 14/2 + 1/2 = (14 + 1)/2 = 15/2#

We can now substitute #15/2# for #r# in the area formula and calculate #A#:

#A = pi(15/2)^2#

#A = pi(225/4)#

#A = 225/4pi#

Or

#A = 176.715# rounded to the nearest thousandth